Convergence and computational cost analysis of a boundary integral method applied to a rigid body moving in a viscous fluid in close proximity to a fixed boundary

2021 ◽  
Vol 132 (1) ◽  
Author(s):  
Raghu Ande ◽  
Arun Kumar Manickavasagam ◽  
Stefanie Gutschmidt ◽  
Mathieu Sellier
Keyword(s):  
Viscous Fluid ◽  
Cost Analysis ◽  
Rigid Body ◽  
Integral Method ◽  
Computational Cost ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Fixed Boundary ◽  
Close Proximity

scholarly journals A boundary integral method for simulating the dynamics of inextensible vesicles suspended in a viscous fluid in 2D

2009 ◽  
Vol 228 (7) ◽  
pp. 2334-2353 ◽  
Author(s):  
Shravan K. Veerapaneni ◽  
Denis Gueyffier ◽  
Denis Zorin ◽  
George Biros
Keyword(s):  
Viscous Fluid ◽  
Integral Method ◽  
Boundary Integral ◽  
Boundary Integral Method

A Special Boundary Integral Method for the Numerical Simulation of Sound Propagation in Flow Ducts Lined with Multi-Cavity Resonators

2016 ◽  
Vol 24 (03) ◽  
pp. 1650012
Author(s):  
E. Perrey-Debain ◽  
R. Maréchal ◽  
J.-M. Ville
Keyword(s):  
Acoustic Waves ◽  
Integral Method ◽  
Numerical Technique ◽  
Computational Cost ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Special Boundary ◽  
Mean Flow ◽  
Resonance Effects ◽  
Air Cavities

In this work, acoustic performances of a liner concept based on perforated screens backed by air cavities are investigated numerically for circular ducts with mean flow. Dimensions of the cavity are chosen to be of the order or bigger than the wavelength so acoustic waves within the liner can propagate parallel to the duct surface. In this case, the liner becomes nonlocally reacting and this gives rise to additional resonance effects which renders the attenuation more effective over a broader frequency range. In order to predict the mufflers’ acoustic performances, a special boundary integral method is presented. Using a tailored Green’s function for hard wall circular ducts containing uniform mean flow, the numerical technique only requires the discretization of the acoustic velocity potential on both sides of the perforated screen separating the central channel from the air cavities. Comparisons with finite element results show that the proposed method allows accurate results for a relatively modest computational cost. Influence of the mean flow in the central airway, the dimensions of the cavity as well as the nature of the incident field on acoustic performances are also shown and discussed.

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